Predictive optimal control for seismic analysis of non‐linear and hysteretic structures

✍ Scribed by Huang, K.; Betti, R.

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 270 KB
• Volume: 28
• Category: Article
• ISSN: 0098-8847
• DOI: 10.1002/(sici)1096-9845(199906)28:6<585::aid-eqe830>3.0.co;2-1

✦ Synopsis

In this paper, an e!ective active predictive control algorithm is developed for the vibration control of non-linear hysteretic structural systems subjected to earthquake excitation. The non-linear characteristics of the structural behaviour and the e!ects of time delay in both the measurements and control action are included throughout the entire analysis (design and validation). This is very important since, in current design practice, structures are assumed to behave non-linearly, and time delays induced by sensors and actuator devices are not avoidable. The proposed algorithm focuses on the instantaneous optimal control approach for the development of a control methodology where the non-linearities are brought into the analysis through a non-linear state vector and a non-linear open-loop term. An autoregressive (AR) model is used to predict the earthquake excitation to be considered in the prediction of the structural response. A performance index that is quadratic in the control force and in the predicted non-linear states, with two additional energy related terms, and that is subjected to a non-linear constraint equation, is minimized at every time step. The e!ectiveness of the proposed closed-open loop non-linear instantaneous optimal prediction control (CONIOPC) strategy is presented by the results of numerical simulations. Since nonlinearity and time-delay e!ects are incorporated in the mathematical model throughout the derivation of the control methodology, good performance and stability of the controlled structural system are guaranteed.